Arithmetic of Diagonal Hypersurfaces Over Finite Fields
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Arithmetic of Diagonal Hypersurfaces Over Finite Fields by Fernando Q. Gouvea
Book DescriptionThere is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to researchers in number theory and algebraic geometry. This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields, with special focus on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L-function. It combines theoretical and numerical work, and includes tables of Picard numbers. Although this book is aimed at experts, the authors have included some background material to help non-specialists gain access to the results.
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Book DetailsISBN: 9780521498340
(228mm x 152mm x 11mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 11-May-1995
Country of Publication: United Kingdom
Books By Author Fernando Q. Gouvea
Guide to Groups, Rings, and Fields, Hardback (March 2013)
Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.
Advances in Number Theory, Hardback (April 1993)» View all books by Fernando Q. Gouvea
A collection of papers on all aspects of recent research in number theory given at an international conference at Queen's University, Canada. Three specific topics were addressed: analytic number theory, arithmetical algebraic geometry and diophantine approximation.
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